Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in a survey, 150 shoppers were asked whether they have access to a comp…

Question

in a survey, 150 shoppers were asked whether they have access to a computer at home and if they have a personal e - mail account. their responses are summarized in the following table.

(a) what percentage of the shoppers have an e - mail account?
(b) what percentage of the shoppers have computer access at home?

Explanation:

Step1: Calculate the number of shoppers with an e - mail account

The number of shoppers with an e - mail account is \(48 + 3=51\).

Step2: Calculate the percentage of shoppers with an e - mail account

The formula for percentage is \(\frac{\text{Part}}{\text{Whole}}\times100\%\). Here, the part is \(51\) and the whole is \(150\). So the percentage is \(\frac{51}{150}\times100\%=\frac{5100}{150}\% = 34\%\).

Step3: Calculate the number of shoppers with computer access at home

The number of shoppers with computer access at home is \(48+12 = 60\).

Step4: Calculate the percentage of shoppers with computer access at home

Using the percentage formula \(\frac{\text{Part}}{\text{Whole}}\times100\%\), with part \(60\) and whole \(150\). So the percentage is \(\frac{60}{150}\times100\%=\frac{6000}{150}\%=40\%\).

Answer:

(a) \(34\%\)
(b) \(40\%\)